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arXiv · 2505.03753

An application of Gelfand's formula in approximating the roots of polynomials

Frank J. Hall·Rachid M. Marsli
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Abstract

The purpose of this paper is to show how Gelfand's formula and balancing can be used to improve the upper and lower bounds of the spectrum of a companion matrix associated with a given real or complex polynomial. Examples and other related ideas are provided.

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Frank J. Hall, Rachid M. Marsli. 2025-04-18. An application of Gelfand's formula in approximating the roots of polynomials. https://arxiv.org/abs/2505.03753

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